# Ratio and Proportional Relationships

> TSI Math Test Study Guide · Hightower High School P-TECH (2023)
>
> Source: [complete Markdown guide](../TSI-Math-Test-Study-Guide.md) · [original PDF](../1062198634-Hightower-TSI-Test-Study-Guide-v2-MATH.pdf)


#### 1. It took Khalid 90 minutes to complete 40 tasks. Which of the following is an equivalent rate?

**A.** 10 tasks in 0.9 minutes

**B.** 10 tasks in 2.25 minutes

**C.** 10 tasks in 9 minutes

**D.** 10 tasks in 22.5 minutes


#### 2. Jacoby followed a recipe that requires 2 cups of water for every 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?

**A.** $2 \frac{2}{3}$

**B.** 4

**C.** $5 \frac{1}{3}$

**D.** 12


#### 3. The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trailhead that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trailhead and the summit? (1 foot = 0.3048 meters)

**A.** 569 feet

**B.** 5,604 feet

**C.** 6,129 feet

**D.** 14,495 feet


#### 4. Jen is sewing a ribbon around baby quilt. She needs 19.5 feet of ribbon. If the ribbon is sold by full yard. How many yards of ribbon does she need? (Hint: 1 yard = 3 feet)

**A.** 6 yards

**B.** 6.5 yards

**C.** 7 yards

**D.** 7.5 yards


#### 5. Nancy is 6 feet tall and cast a 9-foot shadow. If a flagpole next to him, casts a shadow that is 36 feet long. How tall is the flagpole?

**A.** 12 feet

**B.** 24 feet

**C.** 33 feet

**D.** 54 feet


#### 6. What is the value of x?

*Figure: similar right triangles with corresponding sides 6 and 8, and x and 10.*

**A.** 7

**B.** 7.5

**C.** 8

**D.** 8.5


#### 7. \$1 centimeter on the map represents 5 kilometers. If two towns are 30 centimeters apart on the map,$ what is the actual distance between the two towns?

**A.** 6 km

**B.** 35 km

**C.** 36 km

**D.** 150 km


#### 8. A certain map has a scale in which $\frac{1}{2}$ inch on the map represents an actual distance of 10 miles. A distance of x miles is represented by how many inches on this map?

**A.** $\frac{x}{20}$

**B.** $\frac{x}{10}$

**C.** \$5x$

**D.** \$20x$


#### 9. Terry weighs 60.8 kg. What is his weight in grams? (1 kg = 1,000 g)

**A.** 0.608 g

**B.** 6.08 g

**C.** 6,080 g

**D.** 60,800 g


#### 10. The price of cherries at two markets is shown in the table above. What is the price per pound for cherries at Big-Value Market?

**A.** 2.42

**B.** 2.41

**C.** 1.79

**D.** 1.78


#### 11. If the cost of tiling a floor is \$1.25 per square foot, how much will it cost to tile a rectangular floor that is 8ft by 12ft? (Hint: A = L x W)

**A.** \$120.00

**B.** \$97.25

**C.** \$96.00

**D.** \$25.00


#### 12. If the cost of tiling a floor is \$1.75 per square foot, how much will it cost to tile a rectangular floor that is 9ft by 12ft? (Hint: A = L x W)

**A.** \$189.00

**B.** \$109.75

**C.** \$108.00

**D.** \$36.75


#### 13. John is 6 feet 4 inches tall, and Beth is 5 feet 5 inches tall. How much taller is John than Beth? (1 foot = 12 inches)

**A.** 9 inches

**B.** 11 inches

**C.** 13 inches

**D.** 15 inches


#### 14. If an angle of 360° measures 6400 miles, how many degrees in 1600 miles?

**A.** 30°

**B.** 60°

**C.** 90°

**D.** 120°


#### 15. Rory has 5 one-liter containers of apple juice for a party. How many full 8 ounce cups of apple juice can she pour from these 5 containers? (1 liter = 33.8 ounces)

**A.** 20

**B.** 21

**C.** 22

**D.** 23


#### 16. Gimli has 5 bushels of oats. She wants to pour all of the oats into boxes that hold 1 peck. How many boxes will she need? (4 pecks = 1 bushel)

**A.** 20

**B.** 16

**C.** 8

**D.** 4


#### 17. It takes Bert 30 minutes longer to mow a rectangular lawn that measures 30 feet by 25 feet than it takes him to mow a rectangular lawn that measures 20 feet by 15 feet. If he mows the two lawns at the same rate per square foot, how long does it take him to mow both lawns?

**A.** 50 minutes

**B.** 60 minutes

**C.** 70 minutes

**D.** 80 minutes


#### 18. Ramona made a meatloaf for dinner. The recipe says bake the meatloaf in the oven for 1 hour and 45 minutes at 350 degrees, remove from oven, and cool for 10 minutes. If she put the meatloaf in the oven at 4:20 pm, at what time will the meatloaf be ready to eat?

**A.** 5:50 pm

**B.** 5:55 pm

**C.** 6:05 pm

**D.** 6:15 pm


#### 19. If the price of 3 apples is \$1.95, what is the price of 14 apples?

**A.** \$6.50

**B.** \$7.80

**C.** \$9.10

**D.** \$9.75


#### 20. Ron traveled 6.8 miles of his delivery route in 1.2 hours. At this same rate, which of the following is closest to the time for Ron to travel 20 miles?

**A.** 3 hours

**C.** 3.5 hours

**B.** 6 hours

**D.** 6.5 hours


#### 21. Maria walks $x$ yards in 15 minutes. If she continues to walk at the same rate, how many more yards will she walk in the next 7 minutes?

> Added practice choices; these options replace the unusable numeric choices in the original PDF.

**A.** $x/15$

**B.** $15x/7$

**C.** \$7x$

**D.** $7x/15$


#### 22. Pumps 1.5 gallons $\frac{per}{minute}$. How long would it take to fill a tub with a capacity of 150 gallons?

**A.** 30 minutes

**B.** 350 minutes

**C.** 65 minutes

**D.** 100 minutes


#### 23. A rectangular photograph that is 5 inches wide 7 inches long is enlarged to produce a photograph that is 12 inches wide. If the enlarged photograph is in proportion to the original, what is the length, in inches of the enlarged photograph?

**A.** $\frac{35}{12}$

**C.** $\frac{84}{5}$

**B.** 8

**D.** 12


#### 24. Ashley and her friend Robin are running around an oval track. Ashley can complete one lap around the track in 2 minutes, while Robin completes one lap is 3 minutes. If they start running the same direction from the same point on the track, after how many minutes will they meet again?

**A.** 2

**B.** 3

**C.** 6

**D.** 12


#### 25. If $xy = k$, where $k$ is a constant, and $y = 4$ when $x = 6$, what is $y$ when $x = 8$?

**A.** 2

**B.** 4

**C.** 3

**D.** 18


#### 26. If $xy = k$, where $k$ is a constant, and $y = 5$ when $x = 8$, what is $y$ when $x = 4$?

**A.** 4

**B.** 10

**C.** 20

**D.** 5


#### 27. If $xy = k$, where $k$ is a constant, and $y = 3$ when $x = 4$, what is $y$ when $x = 24?$

**A.** 2

**B.** $\frac{1}{2}$

**C.** $\frac{3}{2}$

**D.** 16


#### 28. If y varies directly as x, and y = 8 when x = 2, what is x when y = 2?

**A.** $\frac{1}{2}$

**B.** 4

**C.** $\frac{1}{4}$

**D.** 16


#### 29. If y varies directly as x, and y = 24 when x = 6, what is y when x = 4?

**A.** 16

**B.** 8

**C.** 12

**D.** 32


#### 30. If y varies directly as x, and y = 24 when x = 6, what is y when x = 10?

**A.** 16

**B.** 23

**C.** 12

**D.** 40